find each number

Question

the larger of two numbers is eleven more than twice the smaller number. the sum of the numbers is twenty-nine

Answer 1

Let l be the larger number, s the smaller.

l-2s=11

l+ s=29

subtract the first equation from the second and have

3s=18 or s=6, which substituted in the second equation gives that l=23.

Answer 2

Let x= the smaller of two numbers

 

2x+11= the larger number

 

x+2x+11=29

 

3x+11=29

       -11  -11

 

3x=18

 

3x/3=18/3

 

x=6